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Thus reactive power is not a power at all; it is only a power-like measure of



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Electric Circuit Analysis by K. S. Suresh Kumar

Thus reactive power is not a power at all; it is only a power-like measure of 
reactive component of current. 
To state that there is some reactive power flow into a load is a disguised way of 
stating that (i) the load impedance has a reactive component (ii) the load current has a 
reactive component which reduces the efficacy of current in carrying active power (iii) 
therefore, the current magnitude is more than the minimum magnitude needed that is 
commensurate with actual power transfer taking place (iv) therefore, circuit is operating 
at a power factor less than unity.
This ‘fictitious power’ that is not a power at all in the normal sense of that word, is, in essence, a 
stand-in for the reactive component of current. It is usually denoted by Q and its unit is Volt-Ampere-
reactive, shortened as VAr . Thus, 
=
V
rms
I
rms 
sin
q
VAr where 
q
 is the phase angle by which the voltage 
phasor leads the current phasor. Therefore, the reactive power consumed 
by
an inductive load is 
positive in sign and the reactive power consumed 
by
 a capacitive load is negative in sign by definition. 
Notice that the value is the same as the amplitude of double-frequency power pulsation caused 
by reactive component of current.
Note carefully that the sign of 
reactive component of current
and 
reactive power
carried 
by that current are opposite. Thus, an inductive load 
draws
a ‘negative reactive current’ 
and 
consumes 
‘positive reactive power’. A capacitive load 
draws
‘positive reactive 
current’ and 
consumes 
‘negative reactive power’. This is matter of convention and 
convenience rather than of necessity.
If a circuit element is consuming a certain amount of reactive power, it may equivalently be thought 
of as delivering negative of that amount of reactive power. Thus an element that draws positive reactive 
power (i.e., inductive Q) can be said to deliver negative reactive power (i.e., capacitive Q). Similarly, 
an element that draws negative reactive power (i.e., capacitive Q) can be said to deliver positive 
reactive power (i.e., inductive Q). Thus, a capacitor is a source of inductive reactive power and an 
inductor is a source of capacitive reactive power. 
One may easily show that (Apparent Power)
2
 
=
 P
2
 

Q
2
Thus, a closed triangle can be constructed 
by treating apparent power, active power and magnitude of reactive power as its sides – the triangle 
will be called, obviously, the power triangle. This fact is also expressed in alternative forms as 
(VA)
2
=
(W)
2

(VAr)

or (kVA)
2
=
(kW)
2

(kVAr)
2
.
It may also be noted that active power is alternatively called real power and in-phase power
Similarly, reactive power is also called quadrature power.
Many expressions are commonly employed to calculate reactive power. The first expression is 
used when the load circuit is a composite circuit containing many resistive and reactive elements. If

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